The phrase "acknowledgment under" is correct and usable in written English.
It can be used in legal or formal contexts to refer to a recognition or acceptance of something within a specific framework or document.
Example: "The acknowledgment under the terms of the agreement confirms the parties' understanding of their obligations."
Alternatives: "recognition in accordance with" or "acceptance pursuant to".
He sees the GMC's acknowledgment, under its new chief executive, that child protection doctors need support and its decision to set up an expert group to provide new guidance as "a revelation".
First came his dismissal of the 1972 break-in at Democratic headquarters as a "third-rate burglary," and later his acknowledgment, under relentless questioning as the affair began to unravel, that his and Nixon's past statements denying any White House involvement were "inoperative".
Melissa is just one of the millions of immigrants who will be excluded from any protection, or even acknowledgment, under the current immigration debate.
Diabetes Care 2011 34: 145–150 The online appendix of the article listed above has been changed to remove the name of Robyn Tapp, at her request, from the Australian Diabetes, Obesity and Lifestyle Study acknowledgments under the heading "Co-authors and studies used in these analyses".
Widespread acknowledgment of collaboration under the Nazi occupation has come to France only in the past two decades, notably after a speech in 1995 by President Jacques Chirac, who spoke of the country's "collective wrongdoing".
Yet the reversals themselves are performed with no acknowledgment that they are under way.
In an acknowledgment that Mr. Obama is under pressure to begin a significant withdrawal, as he promised he would when he announced the surge in 2009, Mr. Gates said, "The drawdown must be politically credible here at home".
It was an unusual public acknowledgment that an intelligence agent served under diplomatic guise.
Iran has concentrated its efforts on an acknowledgment that it has the right under international treaties to enrich uranium.
"This is an acknowledgment that there is a process under way inside that country that even a year and a half, two years ago, nobody foresaw".
It is this failure to have any acknowledgment of wrongdoing that has gotten under Judge Rakoff's skin, leading him to reject the settlement because it "is neither fair, nor reasonable, nor adequate, nor in the public interest".
